Solve (-3/5)^-2*3/frac{3{4}}

$$\frac { ( \frac { - 3 } { 5 } ) ^ { - 2 } \cdot 3 } { \frac { 3 } { 4 } }$$

Evaluate

$$\frac{100}{9}\approx 11.111111111$$

Solution Steps

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$\frac{\left(-\frac{3}{5}\right)^{-2}\times 3}{\frac{3}{4}}$$

Calculate -\frac{3}{5} to the power of -2 and get \frac{25}{9}.

$$\frac{\frac{25}{9}\times 3}{\frac{3}{4}}$$

Multiply \frac{25}{9} and 3 to get \frac{25}{3}.

$$\frac{\frac{25}{3}}{\frac{3}{4}}$$

Divide \frac{25}{3} by \frac{3}{4} by multiplying \frac{25}{3} by the reciprocal of \frac{3}{4}.

$$\frac{25}{3}\times \frac{4}{3}$$

Multiply \frac{25}{3} and \frac{4}{3} to get \frac{100}{9}.

$$\frac{100}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 ^ {2}} = 11\frac{1}{9} = 11.11111111111111$$